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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : CSR040+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n002.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 09:42:11 AM UTC 2026

% Result   : Theorem 1.99s 0.77s
% Output   : Refutation 2.65s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   21
% Syntax   : Number of formulae    :   83 (  21 unt;   0 def)
%            Number of atoms       :  145 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :  111 (  49   ~;  40   |;   2   &)
%                                         (   0 <=>;  20  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   22 (  21 usr;   1 prp; 0-1 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   59 (  59   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f4,axiom,
    ! [X0] :
      ( firstordercollection(X0)
     => fixedordercollection(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just4) ).

fof(f9,axiom,
    ! [X0] :
      ~ ( collection(X0)
        & individual(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just9) ).

fof(f14,axiom,
    ! [X0] :
      ( fixedordercollection(X0)
     => collection(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just14) ).

fof(f16,axiom,
    ! [X0] :
      ( tptpcol_0_0(X0)
     => individual(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just16) ).

fof(f17,axiom,
    firstordercollection(c_tptpcol_16_62187),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just17) ).

fof(f19,axiom,
    ! [X0] :
      ( tptpcol_1_65536(X0)
     => tptpcol_0_0(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just19) ).

fof(f21,axiom,
    ! [X0] :
      ( tptpcol_2_98304(X0)
     => tptpcol_1_65536(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just21) ).

fof(f23,axiom,
    ! [X0] :
      ( tptpcol_3_98305(X0)
     => tptpcol_2_98304(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just23) ).

fof(f25,axiom,
    ! [X0] :
      ( tptpcol_4_106497(X0)
     => tptpcol_3_98305(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just25) ).

fof(f27,axiom,
    ! [X0] :
      ( tptpcol_5_106498(X0)
     => tptpcol_4_106497(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just27) ).

fof(f29,axiom,
    ! [X0] :
      ( tptpcol_6_108546(X0)
     => tptpcol_5_106498(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just29) ).

fof(f31,axiom,
    ! [X0] :
      ( tptpcol_7_108547(X0)
     => tptpcol_6_108546(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just31) ).

fof(f33,axiom,
    ! [X0] :
      ( tptpcol_8_109059(X0)
     => tptpcol_7_108547(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just33) ).

fof(f35,axiom,
    ! [X0] :
      ( tptpcol_9_109060(X0)
     => tptpcol_8_109059(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just35) ).

fof(f37,axiom,
    ! [X0] :
      ( tptpcol_10_109061(X0)
     => tptpcol_9_109060(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just37) ).

fof(f39,axiom,
    ! [X0] :
      ( tptpcol_11_109125(X0)
     => tptpcol_10_109061(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just39) ).

fof(f41,axiom,
    ! [X0] :
      ( tptpcol_12_109157(X0)
     => tptpcol_11_109125(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just41) ).

fof(f43,axiom,
    ! [X0] :
      ( tptpcol_13_109173(X0)
     => tptpcol_12_109157(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just43) ).

fof(f45,axiom,
    ! [X0] :
      ( tptpcol_14_109181(X0)
     => tptpcol_13_109173(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just45) ).

fof(f47,axiom,
    ! [X0] :
      ( tptpcol_15_109185(X0)
     => tptpcol_14_109181(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just47) ).

fof(f146,conjecture,
    ( mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwthedailybulletincompostcardsmar9chtm)),c_translation_14))
   => ~ tptpcol_15_109185(c_tptpcol_16_62187) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',query40) ).

fof(f147,negated_conjecture,
    ~ ( mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwthedailybulletincompostcardsmar9chtm)),c_translation_14))
     => ~ tptpcol_15_109185(c_tptpcol_16_62187) ),
    inference(negated_conjecture,[status(cth)],[f146]) ).

fof(f161,plain,
    ! [X0] :
      ( fixedordercollection(X0)
      | ~ firstordercollection(X0) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f162,plain,
    ! [X0] :
      ( ~ collection(X0)
      | ~ individual(X0) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f163,plain,
    ! [X0] :
      ( collection(X0)
      | ~ fixedordercollection(X0) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f164,plain,
    ! [X0] :
      ( individual(X0)
      | ~ tptpcol_0_0(X0) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f165,plain,
    ! [X0] :
      ( tptpcol_0_0(X0)
      | ~ tptpcol_1_65536(X0) ),
    inference(ennf_transformation,[],[f19]) ).

fof(f166,plain,
    ! [X0] :
      ( tptpcol_1_65536(X0)
      | ~ tptpcol_2_98304(X0) ),
    inference(ennf_transformation,[],[f21]) ).

fof(f167,plain,
    ! [X0] :
      ( tptpcol_2_98304(X0)
      | ~ tptpcol_3_98305(X0) ),
    inference(ennf_transformation,[],[f23]) ).

fof(f168,plain,
    ! [X0] :
      ( tptpcol_3_98305(X0)
      | ~ tptpcol_4_106497(X0) ),
    inference(ennf_transformation,[],[f25]) ).

fof(f169,plain,
    ! [X0] :
      ( tptpcol_4_106497(X0)
      | ~ tptpcol_5_106498(X0) ),
    inference(ennf_transformation,[],[f27]) ).

fof(f170,plain,
    ! [X0] :
      ( tptpcol_5_106498(X0)
      | ~ tptpcol_6_108546(X0) ),
    inference(ennf_transformation,[],[f29]) ).

fof(f171,plain,
    ! [X0] :
      ( tptpcol_6_108546(X0)
      | ~ tptpcol_7_108547(X0) ),
    inference(ennf_transformation,[],[f31]) ).

fof(f172,plain,
    ! [X0] :
      ( tptpcol_7_108547(X0)
      | ~ tptpcol_8_109059(X0) ),
    inference(ennf_transformation,[],[f33]) ).

fof(f173,plain,
    ! [X0] :
      ( tptpcol_8_109059(X0)
      | ~ tptpcol_9_109060(X0) ),
    inference(ennf_transformation,[],[f35]) ).

fof(f174,plain,
    ! [X0] :
      ( tptpcol_9_109060(X0)
      | ~ tptpcol_10_109061(X0) ),
    inference(ennf_transformation,[],[f37]) ).

fof(f175,plain,
    ! [X0] :
      ( tptpcol_10_109061(X0)
      | ~ tptpcol_11_109125(X0) ),
    inference(ennf_transformation,[],[f39]) ).

fof(f176,plain,
    ! [X0] :
      ( tptpcol_11_109125(X0)
      | ~ tptpcol_12_109157(X0) ),
    inference(ennf_transformation,[],[f41]) ).

fof(f177,plain,
    ! [X0] :
      ( tptpcol_12_109157(X0)
      | ~ tptpcol_13_109173(X0) ),
    inference(ennf_transformation,[],[f43]) ).

fof(f178,plain,
    ! [X0] :
      ( tptpcol_13_109173(X0)
      | ~ tptpcol_14_109181(X0) ),
    inference(ennf_transformation,[],[f45]) ).

fof(f179,plain,
    ! [X0] :
      ( tptpcol_14_109181(X0)
      | ~ tptpcol_15_109185(X0) ),
    inference(ennf_transformation,[],[f47]) ).

fof(f272,plain,
    ( tptpcol_15_109185(c_tptpcol_16_62187)
    & mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwthedailybulletincompostcardsmar9chtm)),c_translation_14)) ),
    inference(ennf_transformation,[],[f147]) ).

fof(f276,plain,
    ! [X0] :
      ( fixedordercollection(X0)
      | ~ firstordercollection(X0) ),
    inference(cnf_transformation,[],[f161]) ).

fof(f281,plain,
    ! [X0] :
      ( ~ individual(X0)
      | ~ collection(X0) ),
    inference(cnf_transformation,[],[f162]) ).

fof(f286,plain,
    ! [X0] :
      ( collection(X0)
      | ~ fixedordercollection(X0) ),
    inference(cnf_transformation,[],[f163]) ).

fof(f288,plain,
    ! [X0] :
      ( ~ tptpcol_0_0(X0)
      | individual(X0) ),
    inference(cnf_transformation,[],[f164]) ).

fof(f289,plain,
    firstordercollection(c_tptpcol_16_62187),
    inference(cnf_transformation,[],[f17]) ).

fof(f291,plain,
    ! [X0] :
      ( ~ tptpcol_1_65536(X0)
      | tptpcol_0_0(X0) ),
    inference(cnf_transformation,[],[f165]) ).

fof(f293,plain,
    ! [X0] :
      ( ~ tptpcol_2_98304(X0)
      | tptpcol_1_65536(X0) ),
    inference(cnf_transformation,[],[f166]) ).

fof(f295,plain,
    ! [X0] :
      ( ~ tptpcol_3_98305(X0)
      | tptpcol_2_98304(X0) ),
    inference(cnf_transformation,[],[f167]) ).

fof(f297,plain,
    ! [X0] :
      ( ~ tptpcol_4_106497(X0)
      | tptpcol_3_98305(X0) ),
    inference(cnf_transformation,[],[f168]) ).

fof(f299,plain,
    ! [X0] :
      ( ~ tptpcol_5_106498(X0)
      | tptpcol_4_106497(X0) ),
    inference(cnf_transformation,[],[f169]) ).

fof(f301,plain,
    ! [X0] :
      ( ~ tptpcol_6_108546(X0)
      | tptpcol_5_106498(X0) ),
    inference(cnf_transformation,[],[f170]) ).

fof(f303,plain,
    ! [X0] :
      ( ~ tptpcol_7_108547(X0)
      | tptpcol_6_108546(X0) ),
    inference(cnf_transformation,[],[f171]) ).

fof(f305,plain,
    ! [X0] :
      ( ~ tptpcol_8_109059(X0)
      | tptpcol_7_108547(X0) ),
    inference(cnf_transformation,[],[f172]) ).

fof(f307,plain,
    ! [X0] :
      ( ~ tptpcol_9_109060(X0)
      | tptpcol_8_109059(X0) ),
    inference(cnf_transformation,[],[f173]) ).

fof(f309,plain,
    ! [X0] :
      ( ~ tptpcol_10_109061(X0)
      | tptpcol_9_109060(X0) ),
    inference(cnf_transformation,[],[f174]) ).

fof(f311,plain,
    ! [X0] :
      ( ~ tptpcol_11_109125(X0)
      | tptpcol_10_109061(X0) ),
    inference(cnf_transformation,[],[f175]) ).

fof(f313,plain,
    ! [X0] :
      ( ~ tptpcol_12_109157(X0)
      | tptpcol_11_109125(X0) ),
    inference(cnf_transformation,[],[f176]) ).

fof(f315,plain,
    ! [X0] :
      ( ~ tptpcol_13_109173(X0)
      | tptpcol_12_109157(X0) ),
    inference(cnf_transformation,[],[f177]) ).

fof(f317,plain,
    ! [X0] :
      ( tptpcol_13_109173(X0)
      | ~ tptpcol_14_109181(X0) ),
    inference(cnf_transformation,[],[f178]) ).

fof(f319,plain,
    ! [X0] :
      ( tptpcol_14_109181(X0)
      | ~ tptpcol_15_109185(X0) ),
    inference(cnf_transformation,[],[f179]) ).

fof(f406,plain,
    tptpcol_15_109185(c_tptpcol_16_62187),
    inference(cnf_transformation,[],[f272]) ).

fof(f410,plain,
    ! [X0] :
      ( ~ tptpcol_14_109181(X0)
      | tptpcol_12_109157(X0) ),
    inference(resolution,[],[f315,f317]) ).

fof(f411,plain,
    ! [X0] :
      ( ~ tptpcol_15_109185(X0)
      | tptpcol_12_109157(X0) ),
    inference(resolution,[],[f410,f319]) ).

fof(f413,plain,
    tptpcol_12_109157(c_tptpcol_16_62187),
    inference(resolution,[],[f411,f406]) ).

fof(f414,plain,
    tptpcol_11_109125(c_tptpcol_16_62187),
    inference(resolution,[],[f413,f313]) ).

fof(f417,plain,
    tptpcol_10_109061(c_tptpcol_16_62187),
    inference(resolution,[],[f414,f311]) ).

fof(f419,plain,
    tptpcol_9_109060(c_tptpcol_16_62187),
    inference(resolution,[],[f417,f309]) ).

fof(f421,plain,
    tptpcol_8_109059(c_tptpcol_16_62187),
    inference(resolution,[],[f419,f307]) ).

fof(f423,plain,
    tptpcol_7_108547(c_tptpcol_16_62187),
    inference(resolution,[],[f421,f305]) ).

fof(f426,plain,
    tptpcol_6_108546(c_tptpcol_16_62187),
    inference(resolution,[],[f423,f303]) ).

fof(f428,plain,
    tptpcol_5_106498(c_tptpcol_16_62187),
    inference(resolution,[],[f426,f301]) ).

fof(f431,plain,
    tptpcol_4_106497(c_tptpcol_16_62187),
    inference(resolution,[],[f428,f299]) ).

fof(f433,plain,
    tptpcol_3_98305(c_tptpcol_16_62187),
    inference(resolution,[],[f431,f297]) ).

fof(f436,plain,
    tptpcol_2_98304(c_tptpcol_16_62187),
    inference(resolution,[],[f433,f295]) ).

fof(f438,plain,
    tptpcol_1_65536(c_tptpcol_16_62187),
    inference(resolution,[],[f436,f293]) ).

fof(f440,plain,
    tptpcol_0_0(c_tptpcol_16_62187),
    inference(resolution,[],[f438,f291]) ).

fof(f442,plain,
    individual(c_tptpcol_16_62187),
    inference(resolution,[],[f440,f288]) ).

fof(f444,plain,
    ~ collection(c_tptpcol_16_62187),
    inference(resolution,[],[f442,f281]) ).

fof(f447,plain,
    ~ fixedordercollection(c_tptpcol_16_62187),
    inference(resolution,[],[f444,f286]) ).

fof(f456,plain,
    ~ firstordercollection(c_tptpcol_16_62187),
    inference(resolution,[],[f447,f276]) ).

fof(f457,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f456,f289]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR040+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.21  % Computer : n002.cluster.edu
% 0.10/0.21  % Model    : x86_64 x86_64
% 0.10/0.21  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.21  % Memory   : 8046.5625MB
% 0.10/0.21  % OS       : Linux 6.8.0-71-generic
% 0.10/0.21  % CPULimit : 300
% 0.10/0.21  % WCLimit  : 300
% 0.10/0.21  % DateTime : Mon Sep 28 22:17:07 UTC 2026
% 0.10/0.21  % CPUTime  : 
% 0.10/0.21  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.24  Running first-order theorem proving
% 0.10/0.24  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.99/0.77  % (839134)Detected formulas, will run a generic FOF schedule.
% 1.99/0.77  % (839152)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=941759921:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 1.99/0.77  % (839152)First to succeed.
% 1.99/0.77  % (839153)dis-21_1_sil=8000:lcm=predicate:random_seed=2573530727:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 1.99/0.77  % (839150)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3396901021:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 1.99/0.77  % (839152)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-839134"
% 1.99/0.77  % (839151)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3323778659:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 1.99/0.77  % (839148)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1979114007:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 1.99/0.77  % (839149)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2322276590:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 1.99/0.77  % (839147)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1631997576:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 1.99/0.77  % (839150)Refutation not found, incomplete strategy
% 1.99/0.77  % (839150)------------------------------
% 1.99/0.77  % (839150)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.99/0.77  % (839150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.77  % (839150)CaDiCaL version: 2.1.3
% 1.99/0.77  % (839150)Termination reason: Refutation not found, incomplete strategy
% 1.99/0.77  % (839150)Time elapsed: 0.001 s
% 1.99/0.77  % (839150)Peak memory usage: 87 MB
% 1.99/0.77  % (839153)Also succeeded, but the first one will report.
% 1.99/0.77  % (839151)Also succeeded, but the first one will report.
% 1.99/0.77  % (839152)Refutation found. Thanks to Tanya!
% 1.99/0.77  % SZS status Theorem for theBenchmark
% 1.99/0.77  % SZS output start Proof for theBenchmark
% See solution above
% 2.65/0.97  % (839152)------------------------------
% 2.65/0.97  % (839152)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.65/0.97  % (839152)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.65/0.97  % (839152)CaDiCaL version: 2.1.3
% 2.65/0.97  % (839152)Termination reason: Refutation
% 2.65/0.97  % (839152)Time elapsed: 0.003 s
% 2.65/0.97  % (839152)Peak memory usage: 88 MB
% 2.65/0.97  % (839152)Instructions burned: 7 (million)
% 2.65/0.97  % (839152)------------------------------
% 2.65/0.97  % (839152)------------------------------
% 2.65/0.97  % (839134)Success in time 0.318 s
% 2.65/0.97  % Vampire exiting
%------------------------------------------------------------------------------